To be honest, I don't know any physics. I am a high school student who has taken high school physics, but America's education system isn't known for teaching much more than Newton's laws. I have, however, taken Multivariable/Vector calculus, so I have a decent math background. I was wondering is there is a specific form of the solution to the Kepler problem. The initial conditions would be the masses, positions, and velocities. I have found this link to the wikipedia solution, but I wonder if it is possible to have a solution that I can just plug the masses, velocities, and positions in and get an equation for the motion of both bodies. Also, I wonder if that solution could be generalized to include however many bodies you want. The wikipedia article said it could not be solve in terms of first integrals, but I wonder if there is a general solution for n-bodies. Please be nice to me :P I don't possess a vast knowledge of physics (or any at all). I also don't know if this thread is in the right place either.